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Simplifying 6(2x + -5) = -38 + 24x Reorder the terms: 6(-5 + 2x) = -38 + 24x (-5 * 6 + 2x * 6) = -38 + 24x (-30 + 12x) = -38 + 24x Solving -30 + 12x = -38 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -30 + 12x + -24x = -38 + 24x + -24x Combine like terms: 12x + -24x = -12x -30 + -12x = -38 + 24x + -24x Combine like terms: 24x + -24x = 0 -30 + -12x = -38 + 0 -30 + -12x = -38 Add '30' to each side of the equation. -30 + 30 + -12x = -38 + 30 Combine like terms: -30 + 30 = 0 0 + -12x = -38 + 30 -12x = -38 + 30 Combine like terms: -38 + 30 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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